document.write( "Question 1016883: Log8base4+log2base4 \n" ); document.write( "
Algebra.Com's Answer #633239 by mathmate(429)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Question:
\n" ); document.write( "Evaluate Log8base4+log2base4
\n" ); document.write( "
\n" ); document.write( "Solution:
\n" ); document.write( "We will need basic definition of log x to the base b, and some laws of logarithms:
\n" ); document.write( "y=logbx means by=x
\n" ); document.write( "hence
\n" ); document.write( "logbb=1
\n" ); document.write( "and
\n" ); document.write( "log(a)+log(b)=log(ab)
\n" ); document.write( "log(a²)=2log(a)
\n" ); document.write( "
\n" ); document.write( "log4(8)+log4(2)
\n" ); document.write( "=log4(8*2)
\n" ); document.write( "=log4(16)
\n" ); document.write( "=log4(4^2)
\n" ); document.write( "=2log4(4)
\n" ); document.write( "=2*1
\n" ); document.write( "=2
\n" ); document.write( " \n" ); document.write( "
\n" );